Here's the file list:

admin/link_categories.php
admin/links.php
admin/links_contact.php
admin/includes/boxes/extra_boxes/links_extras_dhtml.php
admin/includes/extra_datafiles/links_manager.php
admin/includes/functions/extra_functions/links_manager.php
admin/includes/languages/english/links.php
admin/includes/languages/english/link_categories.php
admin/includes/languages/english/links_contact.php
admin/includes/languages/english/extra_definitions/links.php
-------
includes/extra_datafiles/links_manager.php
includes/functions/links.php
includes/languages/english/extra_definitions/YOUR_TEMPLATE/links_manager_defines.php
includes/languages/english/YOUR_TEMPLATE/links.php
includes/languages/english/YOUR_TEMPLATE/links_submit.php
includes/languages/english/YOUR_TEMPLATE/popup_links_help.php
includes/languages/english/html_includes/define_links.php
includes/languages/english/html_includes/define_links_submit.php
includes/languages/english/html_includes/YOUR_TEMPLATE/define_links.php
includes/languages/english/html_includes/YOUR_TEMPLATE/define_links_submit.php
includes/modules/pages/links
includes/modules/pages/links_submit
includes/modules/pages/popup_links_help
includes/modules/pages/redirect_links
includes/modules/link_listing.php
includes/modules/YOUR_TEMPLATE/link_listing.php
includes/modules/sideboxes/YOUR_TEMPLATE/links_box.php
includes/templates/YOUR_TEMPLATE/sideboxes/tpl_links_select.php
includes/templates/YOUR_TEMPLATE/templates/tpl_links_default.php
includes/templates/YOUR_TEMPLATE/templates/tpl_links_submit_default.php
includes/templates/YOUR_TEMPLATE/popup_links_help
includes/templates/YOUR_TEMPLATE/css/links.css
includes/templates/YOUR_TEMPLATE/css/links_submit.css

Regarding the Submit Button: I just check your site (again) and the "submit link" Button seems to be working fine.